Publications
In Mathematical Physics: Finite Difference Equations /
En Physique mathématique: Équations aux différences finies
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A.F. Antippa (2011),
"Finite Difference Approach To Trigonometry"
Journal of Difference Equations and Applications
vol. 17, no. 9, pp. 1365-1400.
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A.F. Antippa and D. M. Dubois,
"Time-Symmetric Discretization of The Harmonic Oscillator",
in Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings
AIP CP 1303 pp. 121 - 125 (2010).
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A.F. Antippa and D. M. Dubois,
"Discrete Harmonic Oscillator: A Short Compendium of Formulas",
in Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings
AIP CP 1303 pp. 111 - 120 (2010).
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A.F. Antippa and D. M. Dubois,
"Discrete Harmonic Oscillator: Evolution of Notation and Cumulative Erratum",
in Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings
AIP CP 1303 pp. 126 - 130 (2010).
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A.F. Antippa and D. M. Dubois,
"Synchronous Discrete Harmonic Oscillator",
in Computing Anticipatory Systems : CASYS'07 - Eighth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings
AIP CP 1051 pp. 82 - 99 (2008).
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A.F. Antippa and D. M. Dubois,
"Hyperincursive Discrete Harmonic Oscillator",
Journal of Mathematical Physics
vol. 49, no. 3, 032701 (6 pages) (2008).
(Abstract)
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A.F. Antippa,
"Recursive Formulation of the Relativistic Law of Superposition
of Multiple Collinear Velocities"
Journal of Difference Equations and Applications,
vol. 13, no. 7, pp. 563-575, (2007).
(Abstract)
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A.F. Antippa and D. M. Dubois,
"Incursive Discretization, System Bifurcation, and Energy
Conservation",
Journal of Mathematical Physics
vol. 48, no. 1, 012701 (9 pages) (2007).
(Abstract)
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A.F. Antippa and D. M. Dubois,
"The Superposed Hyperincursive System of the Discrete Harmonic Oscillator",
in Computing Anticipatory Systems : CASYS'05 - Seventh International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings,
AIP CP 839, pp. 65-126 (2006).
(Abstract)
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A.F. Antippa and D. M. Dubois,
"The Dual Incursive System of the Discrete Harmonic Oscillator",
in Computing Anticipatory Systems : CASYS'05 - Seventh International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings,
AIP CP 839, pp. 11-64 (2006).
(Abstract)
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A.F. Antippa and D. M. Dubois,
"Anticipation, Orbital Stability, and Energy Conservation in
Discrete Harmonic Oscillators"
in Computing Anticipatory Systems : CASYS'03 - Sixth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings,
AIP CP 718, pp. 3 - 44 (2004).
(Abstract)
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A.F. Antippa,
"Analytic Evaluation of Factorial Polynomials For 2x2
Nonautonomous Matrices"
Journal of Difference Equations and Applications,
vol. 10, no. 4, pp. 437-446 (2004).
(Abstract)
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A.F. Antippa and D. M. Dubois,
"The Harmonic Oscillator via The Discrete Path Approach",
International Journal of Computing Anticipatory Systems,
vol. 11, pp. 141-153 (2002).
(Abstract)
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A.F. Antippa,
"Exact Closed Form Solution For Two Coupled Inhomogeneous First Order Difference Equations With Variable Coefficients",
Journal of Difference Equations and Applications,
vol. 8, no. 3, pp. 255-276 (2002).
(Abstract)
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A.F. Antippa and N.K. Toan,
"Topological Solution of Ordinary and Partial Finite Difference Equations",
Journal of Mathematical Physics,
vol. 21, no. 10, pp. 2475-2480 (1980).
(Abstract)
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A.F. Antippa and N.K. Toan,
"Topological Solution for Systems of Simultaneous Linear Equations",
Journal of Mathematical Physics,
vol. 20, no. 12, pp. 2375-2379 (1979).
(Abstract)
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A.F. Antippa,
"Discrete Path Approach to Linear Recursion Relations",
Journal of Mathematical Physics,
vol. 18, no. 11, pp. 2214-2222 (1977).
(Abstract)
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A.F. Antippa and A.J. Phares,
"General Formalism Solving Linear Recursion Relations",
Journal of Mathematical Physics,
vol. 18, no. 1, pp. 173-181 (1977).
(Abstract)